In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A operator (FIO) with non-singular function (multi-index Bessel function) as its kernel monotone increasing functions is utilized to obtain the such Our derived results are form several proven inequalities already existing in literature. The useful for studying stabili...

In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate Chebyshev inequality via general family of operators. Moreover, derive new results type inequalities for finite products functions. addition, establish an estimate functional by using From our above-mentioned results, find similar some specialized ...

The Hermite-Hadamard inequalities for κ-Riemann-Liouville fractional integrals (R-LFI) are presented in this study using a relatively novel approach based on Abel-Gontscharoff Green’s function. In new technique, we first established some integral identities. Such identities used to obtain results monotonic functions whose second derivative is convex (concave) absolute value. Some previously pub...

Integral identities created in inequality theory studies help to prove many inequalities. Recently, different fractional integral and derivative operators have been used achieve these identities. In this article, with the of Atangana-Baleanu operators, an identity was first obtained various inequalities for convex functions proved using identity. last part simulation graphs are given reveal con...

and Dn denotes the derivative operator ∂/∂x1, . . . ,∂xn. The operators in (1.1) provide multidimensional generalizations to the well-known one-dimensional Riemann-Liouville andWeyl fractional integral operators defined in [5] (see also [1]). The paper [7] considers several formulas and interesting properties of (1.1). By invoking the Gauss hypergeometric function 2F1(α,β;γ;x), the following ge...